Hair styling brush with detachable handle



FIG. 1 is a perspective view of a hair styling brush with detachable handle showing my new design as it appears when the two parts are taken apart;

FIG. 2 is an assembled side view thereof;

FIG. 3 is an assembled bottom view thereof; and,

FIG. 4 is an assembled top view thereof.

The portions of the handle shown in broken lines form no part of the claimed design. 

The ornamental design for a hair styling brush with detachable handle, as shown and described. 